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Vadim26 [7]
2 years ago
13

Please solve with explanation

Mathematics
1 answer:
tekilochka [14]2 years ago
8 0

Answer:

large area: small area = 100:25 = 4:1

Step-by-step explanation:

Mid-Segment of a triangle is always <u>parallel to the third side</u>, and the length of the midsegment is <u>half the length of the third side</u>.

(x₁,y₁) (x₂,y₂) (x₃,y₃): A(-10,30), B(30,50, C(-40,20)

XY = 1/2 AC , YZ = 1/2 AB , ZX = 1/2 BC

X (10,40) , Y (-5,35) , Z (-25,25) : X(x'₁,y'₁), Y(x'₂,y'₂), Z(x'₃,y'₃)

area of triangle by 3 vertices: (x₁,y₁) (x₂,y₂) (x₃,y₃) is

a = abs[x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)] / 2  ... this is just a common formula for any triangle

a = abs(-10*30 + 30*-10 + -40*-20) / 2 = 100

a' = abs(10*10 + -5*-15 + -25*5) / 2 = 25

a/a' = 100/25 = 4/1

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Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

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98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

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3 years ago
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Step-by-step explanation:

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Given:
1/5 of the plants in a vegetable garden are cucumber plants.
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